Search for the rare decays $B^0 \rightarrow \mu^+\mu^-$ and $B^0_s \rightarrow \mu^+\mu^-$ with the CMS detector

A search for the rare decays $B^0_s \rightarrow \mu^+\mu^-$ and $B^0 \rightarrow \mu^+\mu^-$ is performed in pp collisions at $\sqrt{s}$ = 7 TeV, with a data sample corresponding to an integrated luminosity of 5 fb$^{-1}$ collected by the CMS experiment at the LHC. In both decays, the number of events observed after all selection requirements is consistent with the expectation from background plus standard model signal predictions. The resulting upper limits on the branching fractions are B$($B^0_s \rightarrow \mu^+\mu^-) < 7.7 \times 10^{-9}$ and B($B^0 \rightarrow \mu^+\mu^-) < 1.8 \times 10^{-9}$ at 95$\%$ confidence level.